Nekrasov type matrices and upper bounds for their inverses

DOI10.1007/s10958-020-04936-5zbMath1448.15027OpenAlexW3044062820MaRDI QIDQ2202841

L. Yu. Kolotilina

Publication date: 30 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-04936-5

zbMATH Keywords

inverse matrixpermutation matricesNekrasov matricesstrictly diagonally dominant matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Further block generalizations of Nekrasov matrices

Cites Work

• A new subclass of \(H\)-matrices
• A lower bound for the smallest singular value of a matrix
• An improvement of the infinity norm bound for the inverse of \(\{P_1,P_2\}\)-Nekrasov matrices
• Generalizations of Nekrasov matrices and applications
• On Dashnic-Zusmanovich (DZ) and Dashnic-Zusmanovich type (DZT) matrices and their inverses
• Infinity norm bounds for the inverse of Nekrasov matrices
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs
• Über die Determinanten mit überwiegender Hauptdiagonale
• Convergence Properties of the Spline Fit

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